Greatest Common Factor of 2987/29, 3526/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2987/29, 3526/942

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2987/29,3526/942

Given fractions are 2987/29,3526/942

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2987,3526

Greatest Common Factor of Numerators i.e. GCF of 2987,3526 is 1 .

LCM of Denominators means LCM of 29,942 as per the given fractions.

LCM of 29,942 is 27318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2987,3526

GCF of Fractions 2987/29,3526/942 is 1/27318

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2987,3526 By Matching Biggest Common Factor Method

Greatest Common Factor of 2987,3526 By Matching Biggest Common Factor Method

Factors of 2987

List of positive integer factors of 2987 that divides 2987 without a remainder.

1,29,103,2987

Factors of 3526

List of positive integer factors of 3526 that divides 3526 without a remainder.

1,2,41,43,82,86,1763,3526

Greatest Common Factor

We found the factors 2987,3526 . The biggest common factor number is the GCF number.
So the greatest common factor 2987,3526 is 1.

Lets's calculate LCM of 29,942

Given numbers has no common factors except 1. So, there LCM is their product i.e 27318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27318

Therefore, the GCF of Fractions 2987/29,3526/942 is 1/27318

Least Common Multiple of 29,942 with GCF Formula

Least Common Multiple of 29,942 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 29,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,942) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,942) x common factors =1 x 1 = 1

LCM(29,942) = ( 29 × 942 ) / 1

LCM(29,942) = 27318 / 1

LCM(29,942) = 27318


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2987/29, 3526/942

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 2987/29, 3526/942?

Answer: GCF of Numerators as per given numbers 2987/29, 3526/942 is

GCF of Numerators i.e. for 2987,3526 is 1

LCM of denominators i.e. for 29,942 is 27318.

Thus, GCF of Fractions is 1/27318.Finally, GCF of Fractions for 2987/29, 3526/942 is 1/27318.